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Finding the Fourth Proportional to 683.84, 943.86 and 404.12

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Solution

The fourth proportional to 683.84, 943.86 and 404.12 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 943.86 = 404.12 : x
  2. Step 2: Convert to fraction form
    683.84/943.86 = 404.12/x
  3. Step 3: Cross multiply
    683.84x = 943.86 × 404.12
  4. Step 4: Simplify right side
    683.84x = 381,432.70
  5. Step 5: Solve for x
    x = 381,432.70/683.84
  6. Step 6: Final answer
    x = 557.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.